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Lecture 35 of 60Week 7: Projection, Cylindrical Extension and Properties of Fuzzy Relation
Lecture 35: Extension Principle
Prof. Nishchal Kumar Verma · IIT Kanpur
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All the lectures
- Lecture 1:Introduction: Fuzzy Sets, Logic and Systems & Applications
- Lecture 2: Introduction - Real Life Applications of Fuzzy Systems
- Lecture 3: Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - I
- Lecture 4: Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - II
- Lecture 5: Membership Functions
- Lecture 6: Membership Functions-II
- Lecture 7: Nomenclatures used in Fuzzy Set Theory-I
- Lecture 8: Nomenclatures used in Fuzzy Set Theory-II
- Lecture 9: Nomenclatures used in Fuzzy Set Theory-III
- Lecture 10: Set Theoretic Operations on Fuzzy Sets-I
- Lecture 11: Set Theoretic Operations on Fuzzy Sets-II
- Lecture 12: Properties of Fuzzy Sets-I
- Lecture 13: Properties of Fuzzy Sets-II
- Lecture 14: Properties of Fuzzy Sets-III
- Lecture 15: Properties of Fuzzy Sets-IV
- Lecture 16: Properties of Fuzzy Sets-V
- Lecture 17: Distance between Fuzzy Sets-I
- Lecture 18: Distance between Fuzzy Sets-II
- Lecture 19: Distance between Fuzzy Sets-III
- Lecture 20: Arithmetic Operations on Fuzzy Numbers-I
- Lecture 21: Arithmetic Operations on Fuzzy Numbers-II
- Lecture 22: Arithmetic Operations on Fuzzy Numbers-III
- Lecture 23: Complement of Fuzzy Sets
- Lecture 24: T-norm Operators
- Lecture 25: S-norm Operators
- Lecture 26: Parameterized T-Norm Operators
- Lecture 27: Parameterized S-Norm Operators
- Lecture 28: Fuzzy Relation-I
- Lecture 29: Fuzzy Relation-II
- Lecture 30: Operations on Crisp and Fuzzy Relations
- Lecture 31: Projection of Fuzzy Relation Set
- Lecture 32: Cylindrical Extension of Fuzzy Set
- Lecture 33: Properties of Fuzzy Relation-I
- Lecture 34: Properties of Fuzzy Relation-II
- Lecture 35: Extension Principle
- Lecture 36: Composition of Fuzzy Relations
- Lecture 37: Properties of Composition of Fuzzy Relations
- Lecture 38: Fuzzy Tolerance and Equivalence Relations-I
- Lecture 39: Fuzzy Tolerance and Equivalence Relations-II
- Lecture 40: Fuzzy Tolerance and Equivalence Relations-III
- Lecture 41: Linguistic Hedges
- Lecture 42: Linguistic Hedges and Negation/ Complement and Connectives
- Lecture 43: Concentration and Dilation & Composite Linguistic Term and Some Examples
- Lecture 44: Dilation and Composite Linguistic Term and Some Examples
- Lecture 45: Some Examples on Composite Linguistic Terms
- Lecture 46: Contrast Intensification of Fuzzy Sets
- Lecture 47: Orthogonality of Fuzzy Sets
- Lecture 48: Fuzzy Rules and Fuzzy Reasoning-I
- Lecture 49: Fuzzy Rules and Fuzzy Reasoning-II
- Lecture 50: Fuzzy Inference System
- Mamdani Fuzzy Model-I
- Mamdani Fuzzy Model-II
- Mamdani Fuzzy Model-III
- Example on Mamdani Fuzzy Model for Single Antecedent with Three Rules
- Example on Mamdani Fuzzy Model for Two Antecedents with Four Rules
- Lecture 56: Larsen Fuzzy Model-I
- Lecture 57: Larsen Fuzzy Model-II
- Lecture 58: Larsen Fuzzy Model-III
- Lecture 59: Tsukamoto Fuzzy Model
- Lecture 60: TSK Fuzzy Model